On Poly(ana)logs I

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We investigate a connection between the differential of polylogarithms (as considered by Cathelineau) and a finite variant of them. This allows to answer a question raised by Kontsevich concerning the construction of functional equations for the finite analogs, using in part the p-adic version of polylogarithms and recent work of Besser. Kontsevich's original unpublished note is supplied (with his kind permission) in an "Appendix" at the end of the paper.
LaTeX, 44 pages, 1 figure (ps-version strongly recommended). Paper by Elbaz-Vincent and Gangl, an appendix by Kontsevich.

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K-Theory and Homology, Number Theory, 19F15; 11T99; 33B99

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http://salesiana.dossiersoluciones.com/handle/123456789/59716

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0008089
 http://arxiv.org/abs/math/0008089

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arXiv